### Home > INT2 > Chapter 8 > Lesson 8.3.1 > Problem 8-62

8-62.

What is the probability that *x*^{2} + 7*x* + *k* is factorable if 0 ≤ *k* ≤ 20 and *k* is an integer? Homework Help ✎

Think of all of the integer pairs that sum to 7. Their products are the possible values of *k*.

Since 0 is in the set of integers, there are a total of 21 integers.

The possible values of *k* are 0,6,10, and 12.